# What is the distance between #(-7,12,-10)# and #(2,-3,-16)#?

##### 1 Answer

Apr 1, 2018

#### Explanation:

#"using the 3 dimensional form of the "color(blue)"distance formula"#

#•color(white)(x)d=sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2#

#"let "(x_1,y_1,z_1)=(-7,12,-10)#

#"and "(x_2,y_2,z_2)=(2,-3,-16)#

#d=sqrt((2+7)^2+(-3-12)^2+(-16+10)^2#

#color(white)(d)=sqrt(81+25+36)=sqrt342~~18.493#